A spring of with a constant k is attached to a mass M.In order to double the frequency of oscillation of this system,I should
A)double k.
B)double m.
C)double both m and k.
D)increase the amplitude.
E)use 1/4 of the mass.

Question

Quizplus · Accepted Answer

The frequency of a mass-spring system is given by $ f = \frac{1}{2\pi} \sqrt{\frac{k}{m}} $. To double the frequency, the ratio $ \frac{k}{m} $ must be quadrupled. Using 1/4 of the mass quadruples this ratio, thus doubling the frequency.

A Spring of with a Constant K Is Attached to a Mass